Name: ___________________________________________
Mathletics Diagnostic Test
Year 5 - National Curriculum
7376
Number and Algebra
Suggested Time: 45 minutes
30 marks
Name:
Teacher:
Date:
All questions are worth one mark.
Sub-strand and content elaborations are based on Version 1.2 ACARA Australian National Mathematics Curriculum Year 5 | March 2011
© 3P Learning - Mathletics National Curriculum Assessment Series - 2011
Name: ___________________________________________
Section 1 - Number and Place Value
ACMNA098/099
a Which numbers can be divided by 2?
A
2, 45, 67, 88
B
16, 32, 44, 68
C
2, 17, 29, 36
D
2, 6, 8, 19
C
4, 54, 74
D
4, 22, 32
570
C
5,700,000
D
3, 4, 5
C
3, 5, 9
D
b Which numbers can be divided by 4?
A
4, 16, 128
B
4, 24, 114
c Which number is closest to 9500 x 600?
A
570,000,000
B
57,000
d Which are factors of 56?
A
2, 5, 6
B
4, 7, 8
e How much money would you need to buy 4 items that cost $13 each?
A
$5.2
B
$26
C
$520
D
$52
Space for working
ACMNA098/099
/5
© 3P Learning - Mathletics National Curriculum Assessment Series - 2011
Name: ___________________________________________
Section 2 - Number and Place Value
ACMNA100/101/291
a Use the lattice below to multiply 10 by 27.
Answer:
b Use the partition below to multiply 6 by 43.
Tens
x
6
=
Ones
x
6
=
+
=
c Divide 52 by 13.
A 5
B
0.25
C
4
D
2.00
B
0.09
C
12
D
9
d Divide 45 by 4.
A 11.25
e What is the remainder of 38 ÷ 4?
Answer:
ACMNA100/101/291
/5
© 3P Learning - Mathletics National Curriculum Assessment Series - 2011
Name: ___________________________________________
Section 3 - Fractions and Decimals
ACMNA102/103
a Complete the number line below. Then write equivalent fractions in the boxes above.
Write your answers in the boxes on the number line below.
2/4
0
2/4
2/4
1/2
1
1 1/2
b Which fraction is equivalent to 4/8?
A
1/4
C
3/4
B
1/2
D
3/5
c My friend has a watermelon which has been cut into 6 pieces. If I get half and my
sister gets 1/3 how much is left?
Answer:
d What is 12/12 + 6/12?
A
12/19
C
18/12
B
19/12
D
17/12
A
4/16
C
15/16
B
5/16
D
6/16
e What is 10/16 - 5/16?
ACMNA102/103
/5
© 3P Learning - Mathletics National Curriculum Assessment Series - 2011
Name: ___________________________________________
Section 4 - Fractions and Decimals
ACMNA104/105
a What is the equivalent of 0.007?
A
700/1000
7/1000
B
C
70/1000
D
35/1000
D
hundreds
D
hundreds
b What is the place value of the 3 in the number 5.913?
A
thousands
B
hundredths
C
thousandths
c What is the place value of the 1 in the number 2.613?
A
thousandths
B
tenths
C
hundredths
d Locate 5.35 on the numberline.
5.300
5.400
e Locate 6.451 on the numberline.
6.450
6.460
ACMNA104/105
/5
© 3P Learning - Mathletics National Curriculum Assessment Series - 2011
Name: ___________________________________________
Section 5 - Money and Financial Mathematics
ACMNA106
a The budget above is divided into 'Income and Expenses'. For the fundraiser to be
successful, do you need the income or expenses total to be lower?
Answer:
b
You have been put in charge of purchasing balloons and you have a budget of $13.
You need to buy 1,000 balloons.
What is the most you can afford per balloon?
c
A
$130.00
C
$0.01
B
$1.30
D
$0.13
Income from the event is as follows:
Entry fees =
Ticket sales =
Other income =
$
$
$
520.00
1,035.00
299.00
You are expecting to make a 5% on the income received. How much money are you
expecting to make?
A
$92.70
C
$1,761.30
B
$9,270.00
D
$37,080.00
© 3P Learning - Mathletics National Curriculum Assessment Series - 2011
Name: ___________________________________________
d
e
Refer to information on the previous page.
How much did all the expenses cost? Use your working and answer in question
c to answer this question.
A
$1,765.30
C
$1,946.70
B
$1,761.30
D
$92.70
The invoice below shows GST of $0.63
Which two items had GST included in their cost?
A
wasabi peas and organic
amaranth
C
all of the items
B
packaged dates
D
can't tell
`
ACMNA106
/5
© 3P Learning - Mathletics National Curriculum Assessment Series - 2011
Name: ___________________________________________
Section 6 - Patterns and Algebra
ACMNA107/121
a
A
b
A
c
d
e
What is the next number in this pattern?
1, 1.25, 1.5, 1.75… ?
1.5
B
3
C
2
D
2.5
D
6
What is the next number in this pattern?
8, 7.5, 7, 6.5…?
6.5
B
5.5
Which number follows this pattern?
#
1
1 3/4
C
7
2 1/2
3 1/4
A
4
C
3 3/4
B
4 1/4
D
4 3/4
?
Describe the pattern in question c.
A
add 1/4
C
subtract 3/4
B
add 1/2
D
add 3/4
You are making fruit salad for four people. You have 2 bananas and 6 mangos.
How much mango and banana will each person receive?
A
0.5 banana; 1.5 mango
C
0.75 banana; 1.75 mango
B
1.5 banana; 1.5 mango
D
0.5 mango; 1.5 banana
ACMNA107/121
/5
© 3P Learning - Mathletics National Curriculum Assessment Series - 2011